Use the drawing tool(s) to form the correct answer on the provided number line.
Consider the functions below.
f(x)=l3xl+3
g(x)=-x^2+8x-5
Represent the interval where both functions are increasing on the number line provided.
Answers
Both f(x) and g(x) are increasing on the interval (-∞, 0) and neither of them is increasing on the interval (0, 4), the interval where both functions are increasing is (-∞, 0).
What is an interval?
To determine the interval where both functions f(x) and g(x) are increasing, we need to find the intervals where their derivatives are positive. If the derivative of a function is positive on an interval, then the function is increasing on that interval.
The derivative of f(x) is:
f'(x) = 3x/|x|
To find where f(x) is increasing, we need to find where f'(x) is positive. Since the absolute value function |x| changes sign at x = 0, we need to consider two cases:
When x > 0, f'(x) = 3
When x < 0, f'(x) = -3
Therefore, f(x) is increasing on the intervals (-∞, 0) and (0, ∞).
The derivative of g(x) is:
g'(x) = -2x + 8
To find where g(x) is increasing, we need to find where g'(x) is positive. Solving the inequality g'(x) > 0, we get:
-2x + 8 > 0
2x < 8
x < 4
Therefore, g(x) is increasing on the interval (-∞, 4).
Since both f(x) and g(x) are increasing on the interval (-∞, 0) and neither of them is increasing on the interval (0, 4), the interval where both functions are increasing is (-∞, 0).
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Related Questions
6. Inverse distance weighting: What is it for? Why is it better than just an average? (5)
Answers
Inverse distance weighting is a useful tool for estimating values at unsampled locations in geostatistics. Another advantage of inverse distance weighting is that it allows for the incorporation of multiple variables into the estimation process.
Inverse distance weighting is a method used in geostatistics to estimate values at unsampled locations based on values at surrounding sample locations. It works by assigning weights to the sample points based on their proximity to the unsampled point. The closer a sample point is to the unsampled point, the higher its weight. The weights are then used to calculate a weighted average of the sample values, which is used as the estimate for the unsampled location.
The benefit of inverse distance weighting over a simple average is that it takes into account the spatial variability of the data. A simple average treats all sample points equally, regardless of their distance from the unsampled point. This can lead to inaccurate estimates if there is a high degree of spatial variability in the data. In contrast, inverse distance weighting gives more weight to sample points that are closer to the unsampled point, which is likely to provide a more accurate estimate.
Another advantage of inverse distance weighting is that it allows for the incorporation of multiple variables into the estimation process. For example, if there are two variables of interest (e.g., temperature and precipitation), inverse distance weighting can be used to estimate values for both variables simultaneously. This is not possible with a simple average.
Overall, inverse distance weighting is a useful tool for estimating values at unsampled locations in geostatistics. Its ability to account for spatial variability and incorporate multiple variables makes it a powerful technique for analyzing spatial data.
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Find the coordinates of a point that divides the directed line segment PQ in the ratio 5:3.
Question 7 options:
A)
(4, 1)
B)
(4, 5)
C)
(2, 2)
D)
(–6, 6)
Answers
Answer:
B ......................
Jada swims 4 laps, which is 2/5
of the number of laps she plans to swim.
How many laps does Jada plan to swim? Use x
for the number of laps Jada plans to swim.
Equation:
Solution:
Answers
Let x be the number of laps Jada plans to swim.
According to the problem, 4 laps is 2/5 of the number of laps she plans to swim, so we can write:
4 = 2/5 * x
To solve for x, we can first multiply both sides by the reciprocal of 2/5, which is 5/2:
4 * 5/2 = x
Simplifying the left side:
10 = x
Therefore, Jada plans to swim 10 laps.
from a proportion
Create a proportion from each set of numbers. Only use 4 numbers from each set.
example from my teacher
12,32,10,16,24
12:16 = 24:32
1. 35,1,2,10,70
2. 25,7,16,80,5
3. 60,5,8,96,11
4. 88,8,61,32,22
5. 6,36,7,29,42
6. 97,63,81,27,21
Answers
Proportion 1: 35/10 = 70/x
Proportion 2: 25/5 = 80/x
Proportion 3: 60/8 = 96/x
Proportion 4: 88/32 = 61/x
Proportion 5: 6/7 = 29/x
Proportion 6: 97/27 = 81/x
What is number proportion?A proportion is described as an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls. 0.25 are boys (by dividing 1 by 4).
In each proportion shown above "x" represents the unknown value that needs to be determined to establish the equality of the ratio.
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to multiply two fractions multiply the numerator by the and the denominator by the
Answers
Answer:
Multiply the numerator by the numerator and the denominator by the demoninator.
Step-by-step explanation:
Answer:
Nope, to multiply two fractions = numerator × numerator / denominator × denominator
Step-by-step explanation:
For Example:
\(\frac{5}{3}\) × \(\frac{8}{2}\)
Multiply 5 by 8
40
Multiply 3 by 2
6
Result: \(\frac{40}{6}\)
Finally Simplify
\(\frac{40}{6} =\) \(40\) ÷ 6 = \(6\frac{4}{6}\) or 6.6 as a decimal
Find the value of x.
x-11
x-5
A-8
.
A. 17
B. 20
C. 22
D. 15
Answers
Answer:
the answer is D hope it hleps
Please help meeeeee please
Answers
Use the model why 522 is divisible by 9
Answers
Answer:
The rule for divisibility by 9 works because numbers are written in base 10.
Step-by-step explanation:
5 + 2 + 2 = 9
9 is divisible by 9, Therefore, 522 is divisible by 9
WILL GIVE BRAINLIEST what is
453252 x 213414
Answers
Answer:
96730322328
Step-by-step explanation:
I hope this helps
9.67303223x10^10.
Umm yeah answers????
Answers
Answer:
The answer is the photo
Step-by-step explanation:
To graph this, put the point on 3.
The equation is m < 3 which means m is less than 3 so the line goes to the left as whatever the number is, it would be on the left of 3.
In circle K with
m
∠
J
K
L
=
60
m∠JKL=60 and
J
K
=
17
JK=17 units find area of sector JKL. Round to the nearest hundredth.
Answers
Answer:
KL=43
Step-by-step explanation:
JKL=60, jk=17, KL=43
Little Johnny gets 2 hotdogs every 5 minutes. How much hotdogs will he have in an hour?( I already know the answer lmbo)
Answers
Answer:
24 bog ole hotdogs
Step-by-step explanation:
Answer:
12 hot dogs in 30 minutes
Step-by-step explanation:
1. Write it as a fraction
1. 2/5
2. Write what we know of the answer as a fraction
1. ?/30
3. For the denominator to get to 30, we must multiply 5 by 6. However, we also have to multiply the numerator by 6.
1. 2*6=12.
4. Therefore, the answer is 12/30, or he will eat 12 hot dogs in half an hour.
Laurie is measuring the temperature in her back yard. At 4 P.M. she measures 8 degrees Celsius. For the next 2 hours, the temperature decreases by 3 degrees Celsius per hour. What is the temperature at 6 P.M. degrees Celsius?
Answers
Answer:
The temp at 6P.M. Is -14°C
Step-by-step explanation:
Determine two coterminal angles in degree measure (one positive and one negative) for each angle. (There are many correct answers.) (a) − 445 ∘ (b) 740 ∘
Answers
a) -85 degrees is a positive co-terminal angle of -445 degrees and -805 degrees is a negative co-terminal angle of -445 degrees.
b) 380 degrees is a positive co-terminal angle of 740 degrees and 20 degrees is a negative co-terminal angle of 740 degrees.
(a) -445 degrees:
To find a positive co-terminal angle, we can add 360 degrees to -445 degrees:
-445 + 360 = -85
To find a negative co-terminal angle, we can subtract 360 degrees from -445 degrees:
-445 - 360 = -805
(b) 740 degrees:
To find a positive co-terminal angle, we can subtract 360 degrees from 740 degrees:
740 - 360 = 380
To find a negative co-terminal angle, we can subtract 720 degrees from 740 degrees:
740 - 720 = 20
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At horse-racing tracks, the trifecta is a wager where you win if you correctly pick the first 3 horses that finish the race in exact order. Another wager, the superfecta box, is a bet where you win if you select the first 4 horses that finish the race in any order.
Answers
The trifecta requires you to correctly predict the first three horses in the exact order, while the superfecta box only requires you to select the top four horses in any order.
The trifecta is a wager in horse racing where you win if you correctly predict the first three horses that finish the race in the exact order. On the other hand, the superfecta box is a bet where you win if you select the first four horses that finish the race in any order.
To win the trifecta, you need to correctly pick the first, second, and third horses in the exact order they finish the race. This can be quite challenging, but the payout is generally higher compared to other bets due to the increased difficulty.
On the other hand, the superfecta box allows you to choose four horses, and as long as they finish in the top four positions, you win. It doesn't matter in which order they finish, as long as they are in the top four. This bet offers a higher chance of winning compared to the trifecta, but the payout is usually lower since the odds are more favourable.
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Given the function:
f(x) = –3x^2 + 4
What is the additive inverse function of f(x)?
A. g(x) = –3x^2 – 4
B. g(x) = –4x^2 – 3
C. g(x) = 3x^2 – 4
D. g(x) = 4x^2 + 3
Answers
Answer:C
Step-by-step explanation:
Answer:c:g(x)=3x^2-4
Step-by-step explanation:
How many grams are equal to 7 kilograms
Answers
Answer:
7 kilograms is 7000 grams
Step-by-step explanation:
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the pairs of figures that have the same volume. 3-D shape of a cone is represented. The cone has a radius of 4 units and a height of 12 units. 3-D shape of a rectangular prism is represented. The rectangular prism has a length of 18 units, a width of 6 units, a height of 6 units. 3-D shape of a rectangular prism is represented. The rectangular prism length is labeled 16 units, width of 6 units, and height of 6 units. 3-D shape of a cylinder is represented. The cylinder has a radius of 3 units and a height of 8 units. 3-D shape of a cone is represented. The cone has a radius of 8 units and a height of 9 units. 3-D shape of a rectangular prism is represented. The rectangular prism length is labeled 8 units, width of 8 units, height of 9 units. arrowBoth 3-D shape of a cylinder is represented. The cylinder has a radius of 4 units and a height of 12 units. arrowBoth 3-D shape of a cone is represented. The cone has a radius of 6 units and a height of 6 units. arrowBoth Reset Next © 2023 Edmentum. All rights reserved.
Answers
The pair of figures having same volume are:
a. The cylinder has a radius of 3 units and a height of 8 units ; The cone has a radius of 6 units and a height of 6 units.
b. The cone has a radius of 8 units and a height of 9 units ; The cylinder has a radius of 4 units and a height of 12 units.
c. The rectangular prism length is labeled 16 units, width of 6 units, and height of 6 units ; The rectangular prism length is labeled 8 units, width of 8 units, height of 9 units.
What is volume of a figure?
Volume is a unit of measurement for three-dimensional space. It is usually stated quantitatively in terms of a number of imperial or US-standard units as well as SI-derived units.
i. The cone has a radius of 4 units and a height of 12 units.
⇒ Volume = π\(r^{2} \frac{h}{3}\)
⇒ Volume = π\(4^{2} \frac{12}{3}\)
⇒ Volume = 64 π
⇒ Volume = 201 cubic units
ii. The rectangular prism has a length of 18 units, a width of 6 units, a height of 6 units.
⇒ Volume = length * width * height
⇒ Volume = 18 * 6 * 6
⇒ Volume = 648 cubic units
iii. The rectangular prism length is labeled 16 units, width of 6 units, and height of 6 units.
⇒ Volume = length * width * height
⇒ Volume = 16 * 6 * 6
⇒ Volume = 576 cubic units
iv. The cylinder has a radius of 3 units and a height of 8 units.
⇒ Volume = π\(r^{2}\)h
⇒ Volume = π\(3^{2}\) * 8
⇒ Volume = 72 π
⇒ Volume = 226 cubic units
v. The cone has a radius of 8 units and a height of 9 units.
⇒ Volume = π\(r^{2} \frac{h}{3}\)
⇒ Volume = π\(8^{2} \frac{9}{3}\)
⇒ Volume = 192 π
⇒ Volume = 603 cubic units
vi. The rectangular prism length is labeled 8 units, width of 8 units, height of 9 units.
⇒ Volume = length * width * height
⇒ Volume = 8 * 8 * 9
⇒ Volume = 576 cubic units
vii. The cylinder has a radius of 4 units and a height of 12 units.
⇒ Volume = π\(r^{2}\)h
⇒ Volume = π\(4^{2}\) * 12
⇒ Volume = 192 π
⇒ Volume = 603 cubic units
viii. The cone has a radius of 6 units and a height of 6 units.
⇒ Volume = π\(r^{2} \frac{h}{3}\)
⇒ Volume = π\(6^{2} \frac{6}{3}\)
⇒ Volume = 72 π
⇒ Volume = 226 cubic units
Hence, three pairs have the same volume.
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The missing figures have been attached below.
If another equation is graphed so that the system has no solution, which equation could that be?
y=-2(x-1/2)
y=-1/2(4x+2)
y=-x+1
y=-1/2x+2
Answers
Answer:
y=-2(×-1/2)
Step-by-step explanation:
...........
Find equation of the line that passes through points A and B
Answers
Answer:
y = 2x + 5
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = A (1, 7 ) and (x₂, y₂ ) = B (- 3, - 1 )
m = \(\frac{-1-7}{-3-1}\) = \(\frac{-8}{-4}\) = 2 , then
y = 2x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (1, 7 )
7 = 2(1) + c = 2 + c ( subtract 2 from both sides )
5 = c
y = 2x + 5 ← equation of line
Suppose that cell H15 is an output cell in a spreadsheet for which we have run a simulation. How could you compute the probability of that cell's value exceeding 500
Answers
By using 1-PsiTarget(H15, 500) we compute the probability of cell H15's value exceeding 500 in a spreadsheet simulation.
PsiTarget is a function commonly used in spreadsheet simulation software to calculate probabilities.
The first argument (H15) specifies the cell you want to calculate the probability for.
The second argument (500) represents the target value you want to compare against.
The PsiTarget function returns the probability of the cell's value being less than or equal to the target value.
By subtracting this probability from 1, you get the probability of the cell's value exceeding the target value.
Therefore, the correct formula to compute the probability of cell H15's value exceeding 500 is 1-PsiTarget(H15, 500).
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Please help! -- Very Easy--
Answers
Answer: 60
8x15 / 2
Step-by-step explanation:
Answer:
40 units
Step-by-step explanation:
Using Pythagoras Theorem to find the hypotenuse:
\( \sqrt{ {15}^{2} + {8}^{2} } \)
\( = \sqrt{289} \)
= 17 units
The perimeter
= 15+8+17
= 40 units
A basketball hoop is purchased for use outside. It is on a moveable
base which needs to be filled with sand before you can start to play.
The base is a rectangular prismit
measures 49 in long by 32 in wide
by 9 in tall
Solve for the amount of sand that
wif the base Show your eous-
tion and work below
Answers
Answer:
49 + 32 = 81 81 divided by 9 is 9 in
Step-by-step explanation:
what is x, i can’t seem to figure it out
Answers
Answer:
x=12
Step-by-step explanation:
we know the shape is congruent because the 3angles are the same C is 60 for both. E and B are 100 (F rule). G and D are 120 (F rule)
ABCD is i thinkt the word is congruent to the other shape.
from EC and BC we see that bc is twice ec
therefore the scale is by two
6×2=12
At a party, everyone shook hands with everybody else. There were 66 handshakes. How many people were at the party?
Answers
Answer:
66?lol
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
In general, with n+1 people, the number of handshakes is the sum of the first n consecutive numbers: 1+2+3+ ... + n.
Since this sum is n(n+1)/2, we need to solve the equation n(n+1)/2 = 66.
This is the quadratic equation n2+ n -132 = 0. Solving for n, we obtain 11 as the answer and deduce that there were 12 people at the party.
Since 66 is a relatively small number, you can also solve this problem with a hand calculator. Add 1 + 2 = + 3 = +... etc. until the total is 66. The last number that you entered (11) is n.
hope this helped i had this same question and i answered it
Write the slope-intercept form of the equation of each line given the slope and y-intercept HELP ASAP
1. Slope=3, Y-intercept=5
2. Slope= -2, Y-intercept= 1
Answers
Answer:
1. y= 3x +5
2. y=-2x +1
Step-by-step explanation:
slope intercept form = y=m x+b with m being slope and b being y intercept
Consider a male restroom design with minimum plumbing requirements of 12 water closets and 13 lavatories, which one of the following is closest to the minimum space required with considering urinal substitution? Select one: O a. 222 b. 219 c. 237 d. 249
Answers
none of the provided options (a, b, c, d) appear to be accurate or close to the minimum space required.
To determine the minimum space required for a male restroom design with the given plumbing requirements, we need to consider the minimum space required for water closets and lavatories.
The minimum space required for water closets is typically around 30-36 inches per unit, and for lavatories, it is around 24-30 inches per unit.
Since the design requires a minimum of 12 water closets and 13 lavatories, we can estimate the minimum space required as follows:
Minimum space required for water closets = 12 water closets * 30 inches = 360 inches
Minimum space required for lavatories = 13 lavatories * 24 inches = 312 inches
Adding these two values together, we get a total minimum space requirement of 672 inches.
Among the given options, the closest value to 672 inches is option d) 249. However, this value seems significantly lower than the expected minimum space requirement.
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if x=5, y=-3, and z=-7 z=-7, evaluate 3x^2-9y/yz
Answers
Kylie is excited to learn how to ski. She went to Snowy Heights Mountain, rented a pair of skis for $35, and took 5 hours of group skiing lessons. Kylie paid $175 in all. How much does Snowy Heights charge for each hour of group skiing lessons?
Answers
Answer:
5x + 35 = 175
$28
Step-by-step explanation:
She paid 35 for 1 pair of skis. She paid a certain amount(x) for 5 hours (5x + 35). Therefor making the expression 5x + 35 = 175.
Then, solve the equation with inverse operations.
5x + 35 = 175
Step 1: Subtract 35 from both sides.
5x = 140
Step 2: Divide 5 from both sides.
x = 28
Therefore, Kylie paid $28 each hour of the group skiing lessons.
The point (4,1) is translated by (XY) - (x + 2. y + 3), then rotated 90 counterclockwise. What are the coordinates of the final image?
Answers
Answer:
(-4,6)
Step-by-step explanation:
When rotating 90 degrees counter clockwise you go from (x,y) to (-y,x)
First start by adding 2 to 4
then add 3 to 1
(6, 4)
then use the formula (-y,x) to change (6,4)
(-4,6)